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Finding the Fourth Proportional to 29,625.74, 40,883.09 and 17,686.84

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Solution

The fourth proportional to 29,625.74, 40,883.09 and 17,686.84 is: 24,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,625.74 : 40,883.09 = 17,686.84 : x
  2. Step 2: Convert to fraction form
    29,625.74/40,883.09 = 17,686.84/x
  3. Step 3: Cross multiply
    29,625.74x = 40,883.09 × 17,686.84
  4. Step 4: Simplify right side
    29,625.74x = 723,092,671.54
  5. Step 5: Solve for x
    x = 723,092,671.54/29,625.74
  6. Step 6: Final answer
    x = 24,407.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.